If the terminal side of angle A passes through (-5,2) find the value of sec A

Question

asked Apr 8, 2021 210k views

1 Answer

Ramast · Answer 1 · 2021-04-14T19:24:27+0000

Answer:

The value of sec A = - √29/5

Explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

$c^2\:\:=\:\left(-5\right)^2\:+\:2^2$

c^2=5^2+2^2

c^2=25+4

c^2=29

c=√(29)

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

= hypotenuse/adjacent

= √29/-5

= - √29/5

Therefore, the value of sec A = - √29/5